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LIST OF FIGURES
NO. PAGE
1. Stress in Channel Loaded Through Shear Center . . . . . . . . 13
2. Sketch Showing Arrangement of Beam for Testing . . . . . . . 14
3. View of Channel with Load Applied through Shear Center at End of
Cantilever . . . . . . . . . . . . . . . . . . 15
4. View of Channel with Load Applied Approximately through the Centroid
of End Section . . . . . . . . . . . . . . . 16
5. Curves Showing Relation between Angle of Twist and Distance from
Fixed End of Cantilever. . . . . . . . . . . . . . 18
6. Location of Shear Center Determined from Test Data . . . . . . 20
7. Observed Longitudinal Stress in Channel Loaded through Shear Center 24
8. General Torsional Effect of Transverse Load on Channel Beam . . . 26
9. Observed Longitudinal Stress in Channel Loaded Approximately through
Centroid .. . . . . . . . . . . . . . . . . . 28
10. Observed Longitudinal Stress in Channel Loaded Back of Shear Center 31
11. Approximate Analysis of Longitudinal Stress in Channel When Load Is
Not Applied through Shear Center . . . . . . . .. . 35
12. Types of Sections . . . . . . . . . . . . . . . . 44
13. Channel Beam Subjected to Torsion with Restraint . . . . . . . 44
14. Section of Channel Loaded through Shear Center . . . . . . . 46
15. Equilibrium of Element of Channel. . . . . . . . . . . . 47
16. Rotation of Channel Subjected to Torsion. . . . . . . . . . 51
17. Rotation of Angle Subjected to Torsion . . . . . . . .. . 52
18. Center of Rotation for Channel Section . . . . . . . .. . 53
19. Section of Beam Subjected to Unsymmetrical Bending . .. . . 54
20. Circle of Inertia . . . . . . . . . . . . . . . . 55
21. Circle of Inertia Applied to Unsymmetrical Bending. . . . . . 55
22. Bending Shear Couple .... . . . . . . . . . . 56
23. Channel Beam with Load Not through Shear Center . .. . . . 59
24. Graphical Determination of Section Factors for a Ship Channel . . . 61
LIST OF TABLES
1. Experimental and Calculated Values of the Distance of Shear Center from
Center Line of Web . . . . . . . . . . . . . . 22
2. Values of a ... . . . . . . . . . . . . . . . . . 37
3. Values of Additional Longitudinal Stress at B Due to Load Applied
through Centroid of Channel Cross-section . . . . . . . . 38
4. Values of Additional Longitudinal Stress at A Due to Load Applied Back
of Shear Center of Channel Cross-section. . . . . . . .. . 39
5. Values of J for Various Channel Sections . . . . . . . . . . 50
6. Longitudinal Stresses in 6-in. 15.3-1b. Ship Channel . . . . . . . 63